8-(2f-3)=4(f-8)

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Solution for 8-(2f-3)=4(f-8) equation:


Simplifying
8 + -1(2f + -3) = 4(f + -8)

Reorder the terms:
8 + -1(-3 + 2f) = 4(f + -8)
8 + (-3 * -1 + 2f * -1) = 4(f + -8)
8 + (3 + -2f) = 4(f + -8)

Combine like terms: 8 + 3 = 11
11 + -2f = 4(f + -8)

Reorder the terms:
11 + -2f = 4(-8 + f)
11 + -2f = (-8 * 4 + f * 4)
11 + -2f = (-32 + 4f)

Solving
11 + -2f = -32 + 4f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-4f' to each side of the equation.
11 + -2f + -4f = -32 + 4f + -4f

Combine like terms: -2f + -4f = -6f
11 + -6f = -32 + 4f + -4f

Combine like terms: 4f + -4f = 0
11 + -6f = -32 + 0
11 + -6f = -32

Add '-11' to each side of the equation.
11 + -11 + -6f = -32 + -11

Combine like terms: 11 + -11 = 0
0 + -6f = -32 + -11
-6f = -32 + -11

Combine like terms: -32 + -11 = -43
-6f = -43

Divide each side by '-6'.
f = 7.166666667

Simplifying
f = 7.166666667

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